Rational homotopy -- Sullivan models
Abstract
This chapter is a short introduction to Sullivan models. In particular, we find the Sullivan model of a free loop space and use it to prove the Vigué-Poirrier-Sullivan theorem on the Betti numbers of a free loop space.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2013
- DOI:
- 10.48550/arXiv.1308.6685
- arXiv:
- arXiv:1308.6685
- Bibcode:
- 2013arXiv1308.6685M
- Keywords:
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- Mathematics - Algebraic Topology
- E-Print:
- 27 pages. A chapter in the book "Free loop space in geometry and Topology" to appear in IRMA Lect. Math. Theor. Phys., EMS Publishing House